Tunneling between helical edge states through extended contacts

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Presentation transcript:

Tunneling between helical edge states through extended contacts NANO-CTM Meeting Cargese, 25 October 2012 Tunneling between helical edge states through extended contacts Giacomo Dolcetto Università degli Studi di Genova, Physics Department

In collaboration with … Quantum transport and nanodevices Nicodemo Magnoli, Maura Sassetti, Dario Ferraro and Simone Barbarino

Outline Two-dimensional topological insulators Helical edge states CdTe HgTe Two-dimensional topological insulators Helical edge states Tunneling in QPC geometry Tunneling through extended contacts

Two-dimensional topological insulators [B. A. Bernevig, T. L. Hughes, and S.-C. Zhang, Science 314, 1757 (2006)] CdTe HgTe CdTe HgTe Insulating bulk states VS conducting edge states Spin and momentum are locked into each other [L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011)]

Quantum spin Hall effect [C. L. Kane and E. J. Mele, Phys. Rev. Lett. 95, 146802 (2005)] [M. König et al., Science 318, 766 (2007)]

Helical Luttinger liquid [C. Wu, B. A. Bernevig, S. –C. Zhang, PRL 96, 106401 (2006)] Quantum wire Spinfull LL QHE Chiral LL QSHE Helical LL Bosonization: Unique collective excitations propagation velocity

Tunneling through QPC Interaction-dependendent power-laws [A. Strom, H. Johannesson, PRL 102, 096806 (2009)] Interaction-dependendent power-laws

Tunneling through extended contacts [G. D., S. Barbarino, D. Ferraro, N. Magnoli, M. Sassetti, PRB 95, 195138 (2012)] The modulating function depends on bias and temperature, thus modifying QPC behaviours

Tunneling through extended contacts [G. D., S. Barbarino, D. Ferraro, N. Magnoli, M. Sassetti, PRB 95, 195138 (2012)] Tunneling conductance shows a unique peak for an interaction dependent bias voltage value Information about interaction strength Measurament of the peak no spin-charge separation in helical LL but close connection between spin and momentum Unique peak

Thank you for your attention! Summary Helical edge states in QSHE are carachterized by close connection between spin and chirality Tunneling properties are useful in order to study the properties of the helical edge states Extended tunneling contacts may confirm the helicity of the edge states, and allow to extract informations about interactions Thank you for your attention!

Tunneling between helical edge states through extended contacts NANO-CTM Meeting Cargese, 25 October 2012 Tunneling between helical edge states through extended contacts Giacomo Dolcetto Università degli Studi di Genova, Physics Department

Finite temperature effects

New power-laws behaviors

Other useful plots… Varying the length of the contact Varying the interaction Varying the length of the contact Varying the interaction

Other useful plots… Varying the temperature Varying the interaction Varying the length of the contact

Other useful plots… Varying the temperature Varying the interaction Varying the length of the contact